Polygem Symmetry Spectra

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Patterns created from copies of a single piece which exhibit every possible symmetry for the grid. The first column contains the Baiocchi figures with maximal symmetry, and the last has the patterns which have no overall symmetry. In each case the example shown has the fewest pieces so that the pattern displays no higher symmetries. Patterns marked * courtesy George Sicherman.

 

Monogem

Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Horizontal Vertical Birotary None
*

Digems

Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Horizontal Vertical Birotary None
*
*

Trigems

Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Horizontal Vertical Birotary None
*
*
*
*
*
*
* * *
*
*
* *
*

 

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